What is the asymptotes of f(x)=(3x^2-x+11)/(5x) ?

The asymptotes of f(x)=(3x^2-x+11)/(5x) is Vertical: x=0,Slant: y= 3/5 x-1/5

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asymptotes of f(x)=(3x^2-x+11)/(5x)

asymptotes

f (x) = \frac{3 x ^{2} - x + 11}{5 x}

Vertical : x = 0, Slant : y = \frac{3}{5} x - \frac{1}{5}

Solution steps

Vertical asymptotes of

\frac{3 x ^{2} - x + 11}{5 x} : x = 0

Horizontal Asymptotes of

\frac{3 x ^{2} - x + 11}{5 x} :

None

Slant Asymptotes of

\frac{3 x ^{2} - x + 11}{5 x} : y = \frac{3}{5} x - \frac{1}{5}

Vertical : x = 0, Slant : y = \frac{3}{5} x - \frac{1}{5}

y = \frac{x ^{2} + 2}{x + 2}

\frac{x}{x + 1}

\frac{x}{x + 4}

f (x) = \frac{9 x + 2}{3 x + 12}

f (x) = \frac{3 x + 9}{x ^{2} - 2 x - 15}

What is the asymptotes of f(x)=(3x^2-x+11)/(5x) ?
The asymptotes of f(x)=(3x^2-x+11)/(5x) is Vertical: x=0,Slant: y= 3/5 x-1/5